पिता की वर्तमान आयु अपने पुत्र की आयु की चार गुनी है। 10 वर्ष बाद, पिता की आयु अपने पुत्र की आयु की तीन गुनी हो जाएगी । पिता की वर्तमान आयु ज्ञात  कीजिए ।

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  1. 82 years.
  2. 80 years.
  3. 70 years.
  4. 84 years.

Answer (Detailed Solution Below)

Option 2 : 80 years.
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Detailed Solution

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मान लीजिए कि पुत्र की वर्तमान आयु x वर्ष है।

इसलिए, पिता की वर्तमान आयु 4x वर्ष

10 वर्ष बाद -

पुत्र की आयु  = (x + 10) वर्ष

पिता की आयु = (4x + 10) वर्ष

दिए हुए प्रतिबंध से,

4x + 10 = 3(x + 10)

4x + 10 = 3x + 30

4x – 3x = 30 –10

x = 20

इस प्रकार, पुत्र की वर्तमान आयु = 20 वर्ष

तथा पिता की वर्तमान आयु = 4x = 4 × 20 = 80 वर्ष

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